Hand Computation of this, same with the result of the software excel and jamovi: A psychologist would like to research if the Hope scale(Synder, et al., 1991) scores differ between those living in City A and City B. The 12-item scale consisted of two subscales: a 6-item agency subscale and a 6-item pathways subscales. Scores on the 12 items were averaged, with higher scores indicating higher levels of hope. The following scores were obtained. Use Student’s t-test for Independent Groups, alpha at .05 2 tail  City A - 43    38    36   38   52   60   58   66   55   63 City B - 62    34    35   52   58    72   57  55   80   67

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Hand Computation of this, same with the result of the software excel and jamovi:

A psychologist would like to research if the Hope scale(Synder, et al., 1991) scores differ between those living in City A and City B. The 12-item scale consisted of two subscales: a 6-item agency subscale and a 6-item pathways subscales. Scores on the 12 items were averaged, with higher scores indicating higher levels of hope. The following scores were obtained.

Use Student’s t-test for Independent Groups, alpha at .05 2 tail 

City A - 43    38    36   38   52   60   58   66   55   63

City B - 62    34    35   52   58    72   57  55   80   67

jamovi - Untitled
Data
Analyses
Edit
Exploration
T-Tests
ANOVA
Regression
Frequencies
Factor
Modules
Independent Samples T-Test
Independent Samples T-Test
Independent Samples T-Test
Grouping Variable
da B
Statistic
df
Mean difference
SE difference
Effect Size
->
A
Student's t
-1.08
18.0
0.295
-6.30
5.84
Cohen's d
-0.483
Tests
Additional Statistics
V Student's
V Mean difference
Assumptions
Bayes factor
O Confidence interval
95
9%
Normality Test (Shapiro-Wilk)
Prior 0.707
V Effect size
O Welch's
O Confidence interval
95
A
0.973
0.819
O Mann-Whitney U
V Descriptives
Note. A low p-value suggests a
violation of the assumption of
normality
V Descriptives plots
Нуpothesis
O Group 1 * Group 2
Assumption Checks
Homogeneity of Variances Test (Levene's)
Group 1 > Group 2
V Homogeneity test
df
df2
Group 1 < Group 2
V Normality test
A
0.0700
1
18
0.794
V Q-Q plot
Missing values
Note. A low p-value suggests a violation of the
assumption of equal variances
O Exclude cases analysis by analysis
[3]
Exclude cases listwise
7:30 PM
^ ĝ d») * O , ENG
4/29/2021
Transcribed Image Text:jamovi - Untitled Data Analyses Edit Exploration T-Tests ANOVA Regression Frequencies Factor Modules Independent Samples T-Test Independent Samples T-Test Independent Samples T-Test Grouping Variable da B Statistic df Mean difference SE difference Effect Size -> A Student's t -1.08 18.0 0.295 -6.30 5.84 Cohen's d -0.483 Tests Additional Statistics V Student's V Mean difference Assumptions Bayes factor O Confidence interval 95 9% Normality Test (Shapiro-Wilk) Prior 0.707 V Effect size O Welch's O Confidence interval 95 A 0.973 0.819 O Mann-Whitney U V Descriptives Note. A low p-value suggests a violation of the assumption of normality V Descriptives plots Нуpothesis O Group 1 * Group 2 Assumption Checks Homogeneity of Variances Test (Levene's) Group 1 > Group 2 V Homogeneity test df df2 Group 1 < Group 2 V Normality test A 0.0700 1 18 0.794 V Q-Q plot Missing values Note. A low p-value suggests a violation of the assumption of equal variances O Exclude cases analysis by analysis [3] Exclude cases listwise 7:30 PM ^ ĝ d») * O , ENG 4/29/2021
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1 t-Test: Two-Sample Assuming Equal Variances
2
3
City A
City B
4 Mean
50.9
57.2
5 Variance
126.9888889
213.5111111
6 observations
7 Pooled Variance
8 Hypothesized Mean Difference
9 df
10
10
170.25
18
10 t Stat
-1.07964752
11 P(T<=t) one-tail
12 t Critical one-tail
0.147277065
1.734063607
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14 t Critical two-tail
0.294554129
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Transcribed Image Text:Book4 - Excel Sign in File Home Insert Page Layout Formulas Data Review View Help O Tell me what you want to do 요 Share Σ Σ Α. Calibri -|11 A A ab Wrap Text General 响, BI U Sort & Find & Sensitivity Paste E - | Merge & Center $ - % , €.0 .00 4.0 Conditional Format as Cell Insert Delete Format Formatting - Table Styles Filter- Select - Clipboard Font Alignment Number Styles Cells Editing Sensitivity E5 fe A B D G H J K M N 1 t-Test: Two-Sample Assuming Equal Variances 2 3 City A City B 4 Mean 50.9 57.2 5 Variance 126.9888889 213.5111111 6 observations 7 Pooled Variance 8 Hypothesized Mean Difference 9 df 10 10 170.25 18 10 t Stat -1.07964752 11 P(T<=t) one-tail 12 t Critical one-tail 0.147277065 1.734063607 13 P(T<=t) two-tail 14 t Critical two-tail 0.294554129 2,10092204 15 16 17 18 19 20 21 22 23 Sheet1 + Ready 100% 7:31 PM N P. ^ ô 4») * O , ENG W 4/29/2021 WE 面,
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